Regarding the floppy drive noise levels, the Amiga floppy is no louder than any other 3.5" floppy in other computers, and is greatly over exaggerated in your video. I noticed on the Windows 1 and MacOS System 1 videos there was no noise at all. This is false, they had physical media drives as well.
I really enjoyed watching these videos. It would have been nice to have seen some actual programs running on the Amiga though so that it could show off its 4096 on-screen colours and multitasking, with screen dragging and or screen switching, and with 4 channel digital stereo sound, all running at the same time.
The contrast between that and the Mac would surely sway your mum's opinion! Well, it would be like comparing B+W with colour.
Workbench doesn't come with any productivity software as standard. Users would have to purchase such software separately.